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Simplifying 3.7x + 42.7 = 0.7 + -6.8x Reorder the terms: 42.7 + 3.7x = 0.7 + -6.8x Solving 42.7 + 3.7x = 0.7 + -6.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.8x' to each side of the equation. 42.7 + 3.7x + 6.8x = 0.7 + -6.8x + 6.8x Combine like terms: 3.7x + 6.8x = 10.5x 42.7 + 10.5x = 0.7 + -6.8x + 6.8x Combine like terms: -6.8x + 6.8x = 0.0 42.7 + 10.5x = 0.7 + 0.0 42.7 + 10.5x = 0.7 Add '-42.7' to each side of the equation. 42.7 + -42.7 + 10.5x = 0.7 + -42.7 Combine like terms: 42.7 + -42.7 = 0.0 0.0 + 10.5x = 0.7 + -42.7 10.5x = 0.7 + -42.7 Combine like terms: 0.7 + -42.7 = -42 10.5x = -42 Divide each side by '10.5'. x = -4 Simplifying x = -4
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